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Solution for 305 is what percent of 800:

305:800*100 =

(305*100):800 =

30500:800 = 38.13

Now we have: 305 is what percent of 800 = 38.13

Question: 305 is what percent of 800?

Percentage solution with steps:

Step 1: We make the assumption that 800 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={800}.

Step 4: In the same vein, {x\%}={305}.

Step 5: This gives us a pair of simple equations:

{100\%}={800}(1).

{x\%}={305}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{800}{305}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{305}{800}

\Rightarrow{x} = {38.13\%}

Therefore, {305} is {38.13\%} of {800}.

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Solution for 800 is what percent of 305:

800:305*100 =

(800*100):305 =

80000:305 = 262.3

Now we have: 800 is what percent of 305 = 262.3

Question: 800 is what percent of 305?

Percentage solution with steps:

Step 1: We make the assumption that 305 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={305}.

Step 4: In the same vein, {x\%}={800}.

Step 5: This gives us a pair of simple equations:

{100\%}={305}(1).

{x\%}={800}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{305}{800}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{800}{305}

\Rightarrow{x} = {262.3\%}

Therefore, {800} is {262.3\%} of {305}.